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51640290025 = 524729672
BaseRepresentation
bin110000000110000000…
…000100101011101001
311221021220022112112021
4300012000010223221
51321224403240100
635420114344441
73505460136262
oct600600045351
9157256275467
1051640290025
111a99a663245
12a01228b121
134b3c84133c
1426dc511969
1515238a1a1a
hexc06004ae9

51640290025 has 27 divisors (see below), whose sum is σ = 65493100119. Its totient is φ = 40391435280.

The previous prime is 51640290007. The next prime is 51640290043. The reversal of 51640290025 is 52009204615.

It is a happy number.

The square root of 51640290025 is 227245.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (51640290007) and next prime (51640290043).

It can be written as a sum of positive squares in only one way, i.e., 18590504409 + 33049785616 = 136347^2 + 181796^2 .

It is not a de Polignac number, because 51640290025 - 25 = 51640289993 is a prime.

It is a super-2 number, since 2×516402900252 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53402092 + ... + 53403058.

Almost surely, 251640290025 is an apocalyptic number.

51640290025 is the 227245-th square number.

51640290025 is the 113623-rd centered octagonal number.

It is an amenable number.

51640290025 is a deficient number, since it is larger than the sum of its proper divisors (13852810094).

51640290025 is an frugal number, since it uses more digits than its factorization.

51640290025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 51640290025 in words is "fifty-one billion, six hundred forty million, two hundred ninety thousand, twenty-five".

Divisors: 1 5 25 47 235 967 1175 2209 4835 11045 24175 45449 55225 227245 935089 1136225 2136103 4675445 10680515 23377225 43949183 53402575 219745915 1098729575 2065611601 10328058005 51640290025